Q: What are the factor combinations of the number 643,521,715?

 A:
Positive:   1 x 6435217155 x 12870434323 x 2797920531 x 20758765115 x 5595841155 x 4151753713 x 9025553565 x 180511
Negative: -1 x -643521715-5 x -128704343-23 x -27979205-31 x -20758765-115 x -5595841-155 x -4151753-713 x -902555-3565 x -180511


How do I find the factor combinations of the number 643,521,715?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 643,521,715, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 643,521,715
-1 -643,521,715

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 643,521,715.

Example:
1 x 643,521,715 = 643,521,715
and
-1 x -643,521,715 = 643,521,715
Notice both answers equal 643,521,715

With that explanation out of the way, let's continue. Next, we take the number 643,521,715 and divide it by 2:

643,521,715 ÷ 2 = 321,760,857.5

If the quotient is a whole number, then 2 and 321,760,857.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 643,521,715
-1 -643,521,715

Now, we try dividing 643,521,715 by 3:

643,521,715 ÷ 3 = 214,507,238.3333

If the quotient is a whole number, then 3 and 214,507,238.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 643,521,715
-1 -643,521,715

Let's try dividing by 4:

643,521,715 ÷ 4 = 160,880,428.75

If the quotient is a whole number, then 4 and 160,880,428.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 643,521,715
-1 643,521,715
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1523311151557133,565180,511902,5554,151,7535,595,84120,758,76527,979,205128,704,343643,521,715
-1-5-23-31-115-155-713-3,565-180,511-902,555-4,151,753-5,595,841-20,758,765-27,979,205-128,704,343-643,521,715

More Examples

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